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3 • /FBS&ZF%JTQMBZͷ։ൃʹ͓͍ͯɼ͍ࢹ 'JFMEPG7JFX ͱେ͖ͳ&ZFCPYΛ࣮ݱ͢Δ͜ͱ͕େࣄ • ղ૾͕Ұఆͷ߹ɼ'P7ͱ&ZFCPYͲͪΒ͔Λେ͖͘͢ΕͲͪΒ͔͕খ͘͞ͳΔτϨʔυΦϑͷؔʹ͋Δ ʢޙड़ʣ • ͜ͷΛվળ͢ΔͨΊɼຊจͰɼ&ZFCPYҰఆͷ··'P7ͷΈΛ͛ΔޫֶܥΛ࣮ݱͨ͠
ʢ4-.ͷޙʹ4DBUUFSJOH.BTLΛஔʣ *OUSPEVDUJPO /FBS&ZF%JTQMBZʹ͓͚Δ'JFMEPG7JFX 'P7 ͱ&ZFCPYͷτϨʔυΦϑ 'P7ͷ֦େ ैདྷޫֶܥͱఏҊޫֶܥ -
• Ұ࣍ճં֯ ʢEճં֨ࢠϐονɼQϐΫηϧαΠζɼ ʣ ͭ·Γɼ4-.ͷϐΫηϧαΠζʹґଘͯ͠ճં͕ܾ֯·Γɼճં֯ʹґଘ ͯ͠'P7ʢ࠷େࢹ֯ʣ͕ܾఆ͞ΕΔ • &ZFCPY4-.ͷαΠζͱҰக • ݱঢ়ɼͱͯ͠ଘࡏ͢Δ4-.Ͱ࠷ղ૾͕ߴ͍ͷɼ)PMPFZF
("&"ʢղ૾ɿY<QJY>ɼϐΫηϧαΠζɿЖNʣ • ͠ɼԣ<QJY>ˍ'P7˃ ˠɹ&ZFCPYNNʢϐΫηϧαΠζЖNʣ • ͠ɼԣ<QJY>ˍ&ZFCPYNNʢϐΫηϧαΠζЖNʣ ˠɹ'P7˃ • ͠ɼ'P7˃ˍ&ZFCPYNN ˠɹԣ<QJY>ʢϐΫηϧαΠζЖNʣ • ୯ମ4-.ʹΑΔ͍'P7େ͖ͳ&ZFCPYͷཱ྆ඇݱ࣮తʢཁʣ λ = d sin(θ) d = 2p 4 1SJODJQMF ճં֯ɾ'P7ɾ&ZFCPY 1JYFMWBMVF 1JYFMWBMVF 1JYFMWBMVF -
5 • ճં֯ʹ'P7ϐΫηϧαΠζʹґଘ͢ΔͨΊɼ͍'P7Λ࣮ݱ͢ΔͨΊʹϐΫηϧαΠζΛখ͘͢͞Δඞཁ͕͋Δ • ͔͠͠ͳ͕ΒɼϐΫηϧˍ'P7˃Λ࣮ݱ͢Δͱɼ֯ղೳ BOHVMBSSFTPMVUJPO QJYTEFHSFF • ਓؒͷ؟ͷ֯ղೳɼࢹྗPSʢࢹྗʣͷ߹ɼQJYTEFHSFFͱݴΘΕΔ •
ͭ·Γɼޫֶత੍͔Βաͳղ૾Λ࣮ݱͤ͟ΔΛಘͳ͍ ˠղ૾Λଟগ٘ਜ਼ʹ࣮ͯ͠༻্ͳ͍ʂ ˠ4DBUUFSJOH.BTLʢ3BOEPN1IBTF.BTLʣΛ༻͍ͨ'P7ͷ࣮ݱʂʂ 1SJODJQMF ਓؒͷ؟ͷղ૾ྗ੍ ఏҊޫֶܥ -
6 • 4-.Ґ૬ʴ4DBUUFSJOH.BTL 3BOEPN1IBTF.BTL ʹΑΔϗϩάϥϜͷ࠶ੜ૾ɼ * Y ڧBU*NBHF1MBOFɼT
V DPNQMFYGJFMEBU4-.ɼN V NBTLQIBTFɼ'\ɾ^%ϑʔϦΤม • 4DBUUFSJOH.BTL 3BOEPN1IBTF.BTL طͰ͋ΔͨΊɼޙ4-.ͰԿΛදࣔ͢Δ͔ͱ͍͏ʹͳΔ ද͍ࣔͨ͠తͷը૾ɼQJ4-.Ͱදࣔ͢ΔҐ૬ ͜ͷܭࢉ͔ΒͰ4-.Ͱදࣔ͢ΔҐ૬ܭࢉͰ͖Δ͕ɼෆेʢӈը૾ ࠨ ʣ I( ⃗ x ) = |F{ s( ⃗ u )m( ⃗ u ) }|2 ̂ s( ⃗ u ) = F−1{ ̂ y( ⃗ x )}m*( ⃗ u ) pi = arg (∫ δi F−1{ ̂ y( ⃗ x )}m*( ⃗ u )d ⃗ u ) ̂ y( ⃗ x ) 1SPQPTFE.FUIPE දࣔ͢ΔҐ૬ͷ࠷దԽ ࠷దԽ݁Ռͱͷൺֱ -
7 • ࠷దԽΛղ͘͜ͱͰɼྑ͍࠶ੜ૾ΛಘΔ • ͳ͓ɼ4-.ͷϐΫηϧαΠζ4DBUUFSJOH.BTL 3BOEPN1IBTF.BTL ͷϐοναΠζʹൺͯେ͖͍ͷͰɼҎԼͷMPTTGVODUJPOͰඪग़ ྗʹ·ͰࢸΒͳ͍
• ͦ͜Ͱप੍੍͔ۭؒΛՃ͑ͨMPTTGVODUJPOͰ࠷దԽΛߦ͏ʢ'*45"Λར༻ʣ प੍ɿɹ ੍ۭؒɿɹ • ʢ.VMUJQMF'PDBM1MBOFTͷ֦ுͷׂ͕͋ͬͨѪʣ ̂ p = arg (arg min ⃗ s L(I( ⃗ x , ̂ I( ⃗ x )))) subject to | ⃗ s | = ⃗ 1 L (I( ⃗ x ), ̂ I( ⃗ x )) = 1 2 ∑ ⃗ x (I( ⃗ x ) − ̂ I( ⃗ x )) 2 L (I( ⃗ x ), ̂ I( ⃗ x )) = 1 2 ∑ ⃗ x (cf ( ⃗ u ) F{I( ⃗ x ) − ̂ I( ⃗ x )}) 2 L (I( ⃗ x ), ̂ I( ⃗ x )) = 1 2 ∑ ⃗ x (cs ( ⃗ x ) F−1 {cf ( ⃗ u′ ) F{I( ⃗ x ) − ̂ I( ⃗ x )}}) 2 1SPQPTFE.FUIPE දࣔ͢ΔҐ૬ͷ࠷దԽ ࠷దԽͷཧղ͕ෆेͰɼ࠷దԽʹؔ͢Δेͳઆ໌͕Ͱ͖ͣ͢Έ·ͤΜ ͠ࢀߟʹͳΔࢿྉ࠷దԽΛֶͿ্ͰͷΦεεϝ͕͋Εڭ͑ͯཉ͍͠Ͱ͢ -
10 • ΑΓྑ͍ϦβϧτΛಘΔͨΊʹߟ͑ΒΕΔख๏ • Ґ૬ͷΈ͔Βෳૉৼ෯ͷҠߦ • த৺ᜰϨϯμϦϯάͷ࠾༻ ʢݻఆPSΞΠτϥοΧʔʣ • γϛϡϨʔγϣϯʹൺ࣮ͯࡍͷϦβϧτ͕ϊ
Πζ͋Γ • 4DBUUFSJOH.BTLͷϐοναΠζ͕ඇৗʹ ࡉ͔͍ͨΊɼΞϥΠϝϯτ͕ࠔ • ϚεΫࣗମͷΈ͕ൃੜ • /FBS&ZF%JTQMBZͱͯ͠ͷখܕԽʹ͍ͭͯ %JTDVTTJPO ͏·͍͍ͬͯ͘ͳ͍վળʹ͍ͭͯ ΑΓྑ͍Ϧβϧτʹ͚ͯ ΈͷγϛϡϨʔγϣϯ খܕԽͷख๏ -
12 • ബܕϨϯζΛ1BODBLF-FOTͱݺΜͩΓ͢Δ͕ɼӈਤͷΑ͏ʹബܕޫֶ ૉࢠΛฒͨ1BODBLF0QUJDTͱݺΕΔͷ͋Δ • /FBS&ZF%JTQMBZʹ׆༻͞ΕΔ1BODBLF0QUJDTɼภޫ൘ʹΑΔภޫಛ ੑʹΑࣹͬͯΛ܁Γฦ͢ޫֶܥͱ͢Δ͜ͱͰɼޫ࿏Λ֬อ͢Δϝ Ϧοτ͕ଘࡏ͢Δ • DJSDVMBSQPMBSJ[FSͰԁภޫˠ̍ͷ൘Ͱઢภޫʹ
ʢ˞SFGMFDUJWFQPMBSJ[FSͰࣹʣˠ̎ɾ̏ͷ൘Ͱภޫ Λม͑ΔˠSFGMFDUJWFQPMBSJ[FSΛ௨ա • ·ͨɼ/FBS&ZF%JTQMBZͷྫ͔ΒΘ͔ΔΑ͏ʹɼ͍'P7ͷ࣮ݱʹ͓ ͍ͯ༗༻ͳηοτΞοϓͱͳΓಘΔ #BDLHSPVOE 1BODBLF0QUJDT GPS/FBS&ZF%JTQMBZ -
14 • σΟεϓϨΠͷޙํʹԾޫݯ͕ൃੜ͠ɼ7PMVNF)PMPHSBN͔Βͷࣹޫ͕ ࠶ؼੑࣹͱͳΔΑ͏ͳύλʔϯ͕ඞཁ • ̎ͭͷߴ/"ϨϯζΛɼযڞ༗Ͱ͔͍߹Θͤɼ)0&Λ࡞͢Δͱ࣮ݱՄೳ ͱͷ͜ͱ • ಉ༷ͷख๏ͷઌߦݚڀઆ໌͕ݟ͔ͭΒͣɼ͍·͍ͪཧղ͕ෆेͳͷ Ͱɼิ͋ΕͲ͔͜Ͱ͓ئ͍͠·͢
• ˣԾޫݯͷ࣮ݱͷ༷ࢠ 1SJODJQMF 3FUSPSFGMFDUPS-FOT1SPGJMFSFDPSEFEPO)0& ্ /FBS&ZF%JTQMBZͷޫֶܥ Լ )0&࡞༻ͷޫֶܥ -
18 • ݱ࣮ͷମͰ͋ΕɼःΒΕͨޫ࿙Εग़ͯ͘Δ͜ͱͳ͍ • ͔͠͠ɼैདྷͷNVMUJGPDBMEJTQMBZٖࣅత࠶ݱͷͨΊɼޙΖ ʹ͋Δମͷޫ͕࿙Εग़͖ͯͯɼ૾ͷΤοδ͕͓͔͘͠ͳΔ ʢίϯτϥετԽʣ *OUSPEVDUJPO .VMUJGPDBM%JTQMBZʹ͓͚Δ0DDMVTJPO ࠨैདྷͷNVMUJGPDBMEJTQMBZ
ӈఏҊख๏ DPOFUJMU ࠨ3FBMJUZ ݱ࣮ͷମ ӈैདྷͷNVMUJGPDBMEJTQMBZ ݟ͑ํͷҧ͍ -
19 • ը૾දࣔͷPOPGGྖҬΛઃܭ͢Δ͜ͱͰɼޫͷ࿙ΕΛఏݴ͢ Δख๏ߟ͑ΒΕΔ͕ɼͦͷ߹ޫྔͷԼ͕൱Ίͳ͍ ˣ • ͦ͜Ͱɼ֤ϐΫηϧ͔Βͷޫʹ͖Λ༩͑Δ DPOFUJMUͤ͞Δ ͜ͱͰݱ࣮ͷःޫͱࣅͨݱΛ࠶ݱ͢Δख๏͕ఏҊ͞Εͨ *OUSPEVDUJPO
.VMUJGPDBM%JTQMBZʹ͓͚Δ0DDMVTJPO ख๏ͷൺֱ -
20 • νϧτγϑτΛՃ͑Δ͜ͱͰϨϯζͷ։ޱʹΑΔ WJHOFUUJOH ޱܘ৯ Λආ͚ΒΕΔ ӈਤC ˞ຊจͰະ༻ 4-.ͷ੍ΑΓ
• جຊํɼPDDMVTJPOྖҬ͔ΒϐΫηϧͷMJHIUDPOFΛ ग़͢͜ͱ ӈਤB • ͦͷͨΊʹɼ Λ·ͣٻΊͯ ϕΫτϧΛܭࢉ͠ ্ͨͰ ΛٻΊΔ • ͜ͷࡍʹඞཁͳνϧτ֯Λ4-.Ͱදࣔ͢Δ • 4-.Ͱදࣔ͢ΔҐ૬࠷దԽΛղ͘͜ͱ Ͱಋग़ x′ ′ o x′ ′ c − x′ ′ o ̂ x′ ′ c 1SJODJQMF νϧτγϑτʹΑΔޫֶతมԽ DPOFUJMUͷશମํ UJMUʹΑΔWJHOFUUJOHճආʹ͍ͭͯ ޫֶతʹॏཁͳཁૉͷ֓೦ਤ -
22 • ӈਤʹ͋ΔΑ͏ʹɼैདྷͷNVMUJGPDBMEJTQMBZʹൺͯɼ • 0DDMVTJPODVFTͷվળ • Τοδ෦ͷίϯτϥετվળ • ͕֬ೝ͞ΕΔ 3FTVMUT
$POF5JMUʹΑΔվળͷ݁Ռ ॎϥΠϯʹ͓͚Δ݁Ռ ैདྷख๏ͱͷൺֱ -
23 • ࠷దԽ݁ՌͱλʔήοτҐ૬ͷޡࠩ • ΞʔςΟϑΝΫτͷൃੜ • ෳࡶͳܗঢ়ʹରԠ͢Δ͜ͱͷࠔ͞ • Ґ૬4-.ʹىҼ͢Δ੍ݶ %JTDVTTJPOT
Δվળ ࠷దԽʹ͓͚Δޡࠩ ෳࡶͳPDDMVTJPOରԠͰ͖ͳ͍ -
24 )FBE#MBTUFS"XFBSBCMFBQQSPBDIUPTJNVMBUJOHNPUJPO QFSDFQUJPOVTJOHIFBENPVOUFEBJSQSPQVMTJPOKFUT 4IJ)POH-JV 1BJ$IJFO:FO :J)TVBO.BP :V)TJO-JO &SJDL$IBOESB .JLF:$IFO
/BUJPOBM5BJXBO6OJWFSTJUZ 1BQFS*OGPSNBUJPO ˞ࢿྉ࡞ஈ֊Ͱจ1%'͕ݟͨΒͳ͔ͬͨͨΊɼͷ͘͢͝ࡶͳհͷΈʹͳΓ·͢